Consider taking a mix of trains and flights to cover different distances during your trip. There are high-speed trains connecting major cities that offer a comfortable and quick way to travel. Flights can be more convenient for longer distances, but it's important to note that transportation costs can add up quickly. Budget for approximately 150-200 euros for transportation costs.
If you have more time, consider adding a day trip to the charming towns of Tuscany, such as Siena or San Gimignano. If you have less time, consider skipping Naples and the Amalfi Coast and opting for a day trip to Cinque Terre or other smaller towns in Tuscany. Remember to budget for meals and activities, which can add up quickly in popular tourist areas.